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On the Planarity of Certain Dembowski-Ostrom Polynomials

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dc.creator AKSOY, Zehra
dc.creator KIRLAR, Barış Bülent
dc.date 2022-11-25T00:00:00Z
dc.date.accessioned 2025-02-25T10:23:16Z
dc.date.available 2025-02-25T10:23:16Z
dc.identifier 6419bd46-bf54-4f1b-a72f-a396d6aaa8de
dc.identifier 10.29233/sdufeffd.1053097
dc.identifier https://avesis.sdu.edu.tr/publication/details/6419bd46-bf54-4f1b-a72f-a396d6aaa8de/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/99953
dc.description Planar mappings, defined by Dembowski and Ostrom, are identified as a means to construct projective planes. Then, many important applications of planar mappings appear in different fields such as cryptography and coding theory. In this paper, we provide sufficient and necessary conditions for the planarity of certain Dembowski-Ostrom polynomials over the finite field extension of degree three with odd characteristic. In particular, we completely determine the coefficients of the given Dembowski-Ostrom polynomials to be planar.
dc.language eng
dc.rights info:eu-repo/semantics/openAccess
dc.title On the Planarity of Certain Dembowski-Ostrom Polynomials
dc.type info:eu-repo/semantics/article


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